Mathematics
Decimal representation
दशमलव निरूपण
In this Class 9 Mathematics topic from the Number Systems chapter, students learn how numbers are expressed in decimal form and how decimal expansions relate to rational and irrational numbers. They examine terminating and non-terminating decimals, identify repeating patterns, and connect decimal representations with fractions. The topic builds accuracy in comparing, interpreting, and converting numerical forms while strengthening understanding of the structure and properties of real numbers.
Practice questions
Which option is the value of ( \frac{21}{64}-0.203125 )?HardLevel 12What is obtained by dividing 0.567 by 0.021?EasyLevel 12How is (0.0646464\ldots) written in bar notation?HardLevel 12If \(\frac{p}{q}\) is in lowest terms and \(q\) has a prime factor other than 2 and 5, what will be the nature of its decimal expansion?HardLevel 12If p/q is in simplest form and q = 2⁸, what is the maximum number of decimal places in the terminating decimal?MediumLevel 12If ( \frac{p}{q} ) is in simplest form and (q=2^6\times5^3), what is the maximum number of decimal places in the terminating decimal?HardLevel 12What type of decimal is (0.07007000700007\ldots)?HardLevel 12What is obtained by converting (0.0024) into a percentage?HardLevel 12What is obtained by multiplying 0.00390625 by 1000000?EasyLevel 12Which of the following rational numbers gives a non-terminating recurring decimal expansion when written in its lowest form?HardLevel 12Which decimal is less than ( \frac{11}{16} ) but greater than (0.686)?HardLevel 12Which of the following rational numbers will have a non-terminating recurring decimal expansion when written in its simplest form?HardLevel 12What is the decimal form of ( \frac{97}{4000} )?HardLevel 12What is obtained when (0.0015625) is converted into a simplified fraction?HardLevel 12If (0.45a<0.456), how many values of digit (a) are possible?HardLevel 12Which is the correct bar notation of 0.00252525...?EasyLevel 12What is the decimal form of ( \frac{109}{2500} )?ExpertLevel 10What is obtained when (0.00078125) is converted into a simplified fraction?ExpertLevel 10If ( \frac{p}{q} ) is in simplest form and (q=2^6\times5^2\times17), what type of decimal expansion will it have?ExpertLevel 10After simplifying 126/210, what type of decimal expansion will it have?MediumLevel 10